What is the Least Common Multiple of 50720 and 50735?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 50720 and 50735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50720 and 50735, than apply into the LCM equation.

GCF(50720,50735) = 5
LCM(50720,50735) = ( 50720 × 50735) / 5
LCM(50720,50735) = 2573279200 / 5
LCM(50720,50735) = 514655840

Least Common Multiple (LCM) of 50720 and 50735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50720 and 50735. First we will calculate the prime factors of 50720 and 50735.

Prime Factorization of 50720

Prime Factorization of 50735

Now multiplying the highest exponent prime factors to calculate the LCM of 50720 and 50735.

LCM(50720,50735) = 2⁵ × 5¹ × 317¹ × 73¹ × 139¹
LCM(50720,50735) = 514655840